Statistically induced Phase Transitions and Anyons in 1D Optical Lattices

Abstract

Anyons - particles carrying fractional statistics that interpolate between bosons and fermions - have been conjectured to exist in low dimensional systems. In the context of the fractional quantum Hall effect (FQHE), quasi-particles made of electrons take the role of anyons whose statistical exchange phase is fixed by the filling factor. Here we propose an experimental setup to create anyons in one-dimensional lattices with fully tuneable exchange statistics. In our setup, anyons are created by bosons with occupation-dependent hopping amplitudes, which can be realized by assisted Raman tunneling. The statistical angle can thus be controlled in situ by modifying the relative phase of external driving fields. This opens the fascinating possibility of smoothly transmuting bosons via anyons into fermions and of inducing a phase transition by the mere control of the particle statistics as a free parameter. In particular, we demonstrate how to induce a quantum phase transition from a superfluid into an exotic Mott-like state where the particle distribution exhibits plateaus at fractional densities.

8 pages, 5 figures

References in corpus (17)

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• Cold bosonic atoms in optical lattices
• The density-matrix renormalization group
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Phases of the one-dimensional Bose-Hubbard model
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Exact solution of double-delta function Bose gas through interacting anyon gas
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Light induced effective magnetic fields for ultra-cold atoms in planar geometries
• Thermometry with spin-dependent lattices
• Ground-state properties of hard-core anyons in one-dimensional optical lattices

Cited by in corpus (137)

• Atomic quantum gases in periodically driven optical lattices
• Light-induced gauge fields for ultracold atoms
• Shortcuts to adiabaticity
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Topological quantum matter with cold atoms
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Tailoring quantum gases by Floquet engineering
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
• One-dimensional mixtures of several ultracold atoms: a review
• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
• The Anyon Hubbard Model in One-Dimensional Optical Lattices
• Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
• Simulating an interacting gauge theory with ultracold Bose gases
• Simulating quantum statistics with entangled photons: a continuous transition from bosons to fermions
• Interference of Identical Particles from Entanglement to Boson-Sampling
• Floquet realization and signatures of one-dimensional anyons in an optical lattice
• The phase diagram of the antiferromagnetic XXZ model on the triangular lattice
• Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
• Floquet dynamics in driven Fermi-Hubbard systems
• Realizing a 1D topological gauge theory in an optically dressed BEC
• Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
• An Interaction-Driven Many-Particle Quantum Heat Engine: Universal Behavior
• Bloch-like waves in random-walk potentials based on supersymmetry
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Toolbox for Abelian lattice gauge theories with synthetic matter
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Dynamical properties of hard-core anyons in one-dimensional optical lattices
• Engineering interactions and anyon statistics by multicolor lattice-depth modulations
• Ground-state properties of anyons in a one-dimensional lattice
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
• Bosonic continuum theory of one-dimensional lattice anyons
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Strongly interacting mesoscopic systems of anyons in one dimension
• Critical points of the anyon-Hubbard model
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Universal duality transformations in interacting one-dimensional quantum systems
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• Anyonic Haldane insulator in one dimension
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Two-parametric fractional statistics models for anyons
• The Hong-Ou-Mandel effect with atoms
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• The Aharonov-Bohm effect in mesoscopic Bose-Einstein condensates
• Density waves in strongly correlated quantum chains
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Topological Exchange Statistics in One Dimension
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Probing the exchange statistics of one-dimensional anyon models
• Correlation functions of one-dimensional strongly interacting two-component gases
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Ground state properties of hard-core anyons in a harmonic potential
• Strongly repulsive anyons in one dimension
• The Hofstadter Butterfly in a Dynamic Cavity-Induced Synthetic Magnetic Field
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• Synthetic Flux Attachment
• Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Quantum Dynamical Phase Transition in a Spin-Orbit Coupled Bose Condensate
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Three-body interaction effects on the ground state of one-dimensional anyons
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Long-Range Non-Equilibrium Coherent Tunneling Induced by Fractional Vibronic Resonances
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Electric circuit emulation of topological transitions driven by quantum statistics
• Density-induced geometric frustration of ultra-cold bosons in optical lattices
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Extending bosons and fermions beyond pairwise exchange symmetry
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Topological phases of lattice bosons with a dynamical gauge field
• Chaotic dynamics of Bose-Einstein condensate in a density-dependent gauge field
• Anyonic Liquids in Nearly Saturated Spin Chains
• Vortex nucleation in rotating Bose-Einstein condensates with density-dependent gauge potential
• Density Dependent Spin-Orbit Coupling in Degenerate Quantum Gases
• Quantum criticality on a chiral ladder: an $SU(2)$ iDMRG study
• Modeling free anyons at the bosonic and fermionic ends
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Few-to-many vortex states of density-angular-momentum coupled Bose-Einstein condensates
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Quantum computation from fermionic anyons on a 1D lattice
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quasimomentum distribution and expansion of an anyonic gas
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Quantum walk of two anyons across a statistical boundary
• Statistics-tuned phases of pseudofermions in one dimension
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
• Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential
• Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
• Coherence Properties of the Repulsive Anyon-Hubbard Dimer
• Emergence of anyonic correlations from spin and charge dynamics in one dimension
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Spin-selective localization of correlated lattice fermions
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Two-site anyonic Josephson junction
• Revisiting the Fermion Sign Problem from the Structure of Lee-Yang Zeros. I. The Form of Partition Function for Indistinguishable Particles and Its Zeros at 0~K
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Bosonization study of a generalized statistics model with four Fermi points
• Laser assisted tunneling in a Tonks-Girardeau gas
• Coincidence Structures and Hard-Core Few-Body Interactions
• Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective
• Gauge transformations and Galilean covariance in nonlinear gauge-coupled quantum fluids
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Luttinger liquid with complex forward scattering: robustness and Berry phase
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture
• One-dimensional anyons in relativistic field theory
• Localization of states, Bloch wave and quantum phase transitions in SUSY deformed potentials in non-Hermitian optical systems
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
• Phase and Photon Number Dependent NOON State Localization in Flat Band Lattices
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder